Structure, NeutroStructure, and AntiStructure in Science [PDF]
International Journal of Neutrosophic Science, 2021 In any science, a classical Theorem, defined on a given space, is a statement that is 100% true (i.e. true for all elements of the space). To prove that a classical theorem is false, it is sufficient to get a single counter-example where the statement is false. Therefore, the classical sciences do not leave room for partial truth of a theorem (or a
Florentín Smarandache
core +6 more sources
A NeutroStructural Framework for Coordinated Development Evaluation of Land Resource Utilization and Ecological Environmental Protection [PDF]
Neutrosophic Sets and SystemsBalancing land resource utilization with ecological environmental protection has become a global necessity in the face of accelerating urbanization, agriculture expansion, and climate change.
Qian Luan
doaj +5 more sources
A NeutroStructure-Driven Approach to Elderly Care Community Planning and Design Under the Background of Rural Revitalization [PDF]
Neutrosophic Sets and SystemsThis study introduces a new planning model called the Plithogenic Dynamic NeutroStructure (PDNS) to help design elderly care communities in rural areas.
Xianqin Yan, Yuanpei Zhou, Rong Fang
doaj +5 more sources
A Novel NeutroGraph Model for Dynamic Systems: Advancing NeutroStructures with Partially False Axioms in Interactive Digital Installation Art Design [PDF]
Neutrosophic Sets and SystemsThis paper introduces NeutroGraph, an innovative mathematical model rooted in NeutroStructures, designed to analyze dynamic systems where relational axioms are partially true, indeterminate, and false.
Ziyuan Liu, Yixi Peng
doaj +5 more sources
Nidus Idearum. Scilogs, XIII: Structure / NeutroStructure / AntiStructure [PDF]
SSRN Electronic JournalIn this thirteenth book of scilogs – one may find topics on Neutrosophy, Plithogeny, Physics, Mathematics, Philosophy – email messages to research colleagues, or replies, notes, comments, remarks about authors, articles, or books, spontaneous ideas, and ...
Florentin Smarandache
core +4 more sources
NeutroOrderedAlgebra: Applications to Semigroups [PDF]
Neutrosophic Sets and Systems, 2021 Starting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfies the conditions of NeutroOrder, it becomes a NeutroOrderedAlgebra.
Madeleine Al-Tahan +2 more
doaj +7 more sources
Real Examples of NeutroGeometry & AntiGeometry [PDF]
Neutrosophic Sets and Systems, 2023 For the classical Geometry, in a geometrical space, all items (concepts, axioms, theorems, etc.) are totally (100%) true. But, in the real world, many items are not totally true. The NeutroGeometry is a geometrical space that has some items that are only
Florentin Smarandache
doaj +4 more sources
(Φ, Ψ)-Weak Contractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems [PDF]
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 In this manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of (Φ, Ψ)‐weak contraction is defined in the neutrosophic cone metric space by using the idea of altering distance function. Finally, we review many examples of cone metric spaces to verify some properties.
Wadei F. Al-Omeri +3 more
wiley +3 more sources
Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) [PDF]
Neutrosophic Sets and Systems, 2020 : In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a ...
Florentin Smarandache
doaj +1 more source
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The neutrosophic cubic sets (NCSs) attained attraction of many researchers in the current time, so the need to discuss and study their stability was felt. Thus, in this article, we discuss the three types of stability of NCSs such as truth‐stability, indeterminacy‐stability, and falsity‐stability. We define the left (resp., right) truth‐left evaluative
Mohammed A. Al Shumrani +3 more
wiley +1 more source